11edo: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:~~JosephRuhf~~|~~JosephRuhf~~]] and made on <tt>2016-12-~~04 07~~:04:41 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-22 03:57:17 UTC</tt>.

: The original revision id was <tt>~~601321854~~</tt>.

: The original revision id was <tt>602738160</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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|| Harmonic || 8 || || 9 || || 11 || || 14 || || 16 ||

|| JI interval from 1/1 || 1/1 = 0 cents || || 9/8 = 204 || || 11/8 = 551 || || 7/4 = 969 || || 2/1 = 1200 ||

|| nearest 11edo interval || 0\11edo = ~~0 cents~~ || || 2\11 = ~~218~~ || || 5\11 = 545 || || 9\11 = 982 || || 11\11 = 1200 ||

|| nearest 11edo interval || 0\11edo = 0¢ || || 2\11 = 218¢ || || 5\11 = 545 || || 9\11 = 982 || || 11\11 = 1200 ||

|| difference || 0 || || +14 || || -6 || || +13 || || 0 ||

|| difference || 0 || || +14¢ || || -6¢ || || +13¢ || || 0¢ ||

|| JI interval between || || 9:8 = ~~204 cents~~ || || 11:9 = 347 || || 14:11 = 418 || || 8:7 = 231 || ||

|| JI interval between || || 9:8 = 204¢ || || 11:9 = 347 || || 14:11 = 418 || || 8:7 = 231 || ||

|| nearest 11edo interval || || 2\11 = ~~218~~ || || 3\11 = 327 || || 4\11 = 436 || || 2\11 = 218 || ||

|| nearest 11edo interval || || 2\11 = 218¢ || || 3\11 = 327 || || 4\11 = 436 || || 2\11 = 218 || ||

|| difference || || +14 || || -20 || || +18 || || -13 || ||

|| difference || || +14¢ || || -20¢ || || +18¢ || || -13¢ || ||

11edo also may be considered a 2.7.9.11.15.17 subgroup temperament. See diagram:

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A chromatic scale would thus be sung: **do ra re me mo fu su lo la ta ti do**.

|| degrees of 11edo || cents ~~value (coarse/fine)~~

|| degrees of 11edo || cents || solfege || ratios* || Sagittal

~~DMS value~~ || solfege || ratios* || Sagittal

notation || [[Ups and Downs Notation|up/down notation ]]

with sharp

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notation ||

|| 0 || 0.00 || **do** || 1/1 || A || A || Q\P# ||

|| 1 || 109.09~~, 130.91~~

|| 1 || 109.09 || **ra** || 15/14, 16/15,

~~32°43'38"~~ || **ra** || 15/14, 16/15,

17/16, 18/17 || AII\ or B!!/ || B || Q#\Rb ||

|| 2 || 218.18~~, 261.82~~

|| 2 || 218.18 || **re** || 8/7, 9/8, 17/15 || B || B^, C# || R ||

~~65°27'16"~~ || **re** || 8/7, 9/8, 17/15 || B || B^, C# || R ||

|| 3 || 327.27 || **me** || 6/5, 11/9, 17/14 || C/I or BII\ or D\!!/ || Bb, Cv || R#\Sb ||

|| 3 || 327.27~~, 392.73~~

|| 4 || 436.36 || **mo** || 9/7, 14/11, 22/17 || D\! or C/II\ || C || S ||

~~98°10'55"~~ || **me** || 6/5, 11/9, 17/14 || C/I or BII\ or D\!!/ || Bb, Cv || R#\Sb ||

|| 5 || 545.45 || **fu** || 11/8, 15/11 || D/I or E\!!/ || D || S#\Tb ||

|| 4 || 436.36~~, 523.64~~

|| 6 || 654.55 || **su** || 16/11, 22/15 || E\! or D/II\ || E || T ||

~~120°54'33"~~ || **mo** || 9/7, 14/11, 22/17 || D\! or C/II\ || C || S ||

|| 7 || 763.64 || **lo** || 11/7, 14/9, 17/11 || F || E^, F# || T#\Ub ||

|| 5 || 545.~~455, 654.545~~

|| 8 || 872.73 || **la** || 5/3, 18/11, 28/17 || FII\ or G!!/ || Eb, Fv || U ||

~~163°38'11"~~ || **fu** || 11/8, 15/11 || D/I or E\!!/ || D || S#\Tb ||

|| 9 || 981.82 || **ta** || 7/4, 16/9, 30/17 || G || F || U#\Pb ||

|| 6 || 654.~~545, 785.455~~

|| 10 || 1090.91 || **ti** || 15/8, 17/9,

~~196°21'49"~~ || **su** || 16/11, 22/15 || E\! or D/II\ || E || T ||

|| 7 || 763.64~~, 916.36~~

~~229°5'27"~~ || **lo** || 11/7, 14/9, 17/11 || F || E^, F# || T#\Ub ||

|| 8 || 872.73~~, 1047.27~~

~~261°49'5"~~ || **la** || 5/3, 18/11, 28/17 || FII\ or G!!/ || Eb, Fv || U ||

|| 9 || 981.82~~, 1178.18~~

~~294°31'44"~~ || **ta** || 7/4, 16/9, 30/17 || G || F || U#\Pb ||

|| 10 || 1090.91~~, 1309.09~~

~~327°16'22"~~ || **ti** || 15/8, 17/9,

28/15, 32/17 || GII\ or A!!/ || G || P\Qb ||

*in 2.7.9.11.15.17 subgroup

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<td>nearest 11edo interval

</td>

<td>0\11edo = ~~0 cents~~

<td>0\11edo = 0¢

</td>

<td>

</td>

<td>2\11 = ~~218~~

<td>2\11 = 218¢

</td>

<td>

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<td>

</td>

<td>+14

<td>+14¢

</td>

<td>

</td>

<td>-6

<td>-6¢

</td>

<td>

</td>

<td>+13

<td>+13¢

</td>

<td>

</td>

<td>0

<td>0¢

</td>

</tr>

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<td>

</td>

<td>9:8 = ~~204 cents~~

<td>9:8 = 204¢

</td>

<td>

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<td>

</td>

<td>2\11 = ~~218~~

<td>2\11 = 218¢

</td>

<td>

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<td>

</td>

<td>+14

<td>+14¢

</td>

<td>

</td>

<td>-20

<td>-20¢

</td>

<td>

</td>

<td>+18

<td>+18¢

</td>

<td>

</td>

<td>-13

<td>-13¢

</td>

<td>

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<td>degrees of 11edo

</td>

<td>cents ~~value (coarse/fine) ~~

<td>cents

~~DMS value~~

</td>

<td>solfege

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<td>1

</td>

<td>109.09~~, 130.91 ~~

<td>109.09

~~32°43'38&quot;~~

</td>

<td>ra

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<td>2

</td>

<td>218.18~~, 261.82 ~~

<td>218.18

~~65°27'16&quot;~~

</td>

<td>re

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<td>3

</td>

<td>327.27~~, 392.73 ~~

<td>327.27

~~98°10'55&quot;~~

</td>

<td>me

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<td>4

</td>

<td>436.36~~, 523.64 ~~

<td>436.36

~~120°54'33&quot;~~

</td>

<td>mo

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<td>5

</td>

<td>545.~~455, 654.545 ~~

<td>545.45

~~163°38'11&quot;~~

</td>

<td>fu

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<td>6

</td>

<td>654.~~545, 785.455 ~~

<td>654.55

~~196°21'49&quot;~~

</td>

<td>su

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<td>7

</td>

<td>763.64~~, 916.36 ~~

<td>763.64

~~229°5'27&quot;~~

</td>

<td>lo

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<td>8

</td>

<td>872.73~~, 1047.27 ~~

<td>872.73

~~261°49'5&quot;~~

</td>

<td>la

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<td>9

</td>

<td>981.82~~, 1178.18 ~~

<td>981.82

~~294°31'44&quot;~~

</td>

<td>ta

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<td>10

</td>

<td>1090.91~~, 1309.09 ~~

<td>1090.91

~~327°16'22&quot;~~

</td>

<td>ti

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-04 07:04:41 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-22 03:57:17 UTC</tt>.<br>
-: The original revision id was <tt>601321854</tt>.<br>
+: The original revision id was <tt>602738160</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 32: / Line 32: @@
 || Harmonic || 8 ||   || 9 ||   || 11 ||   || 14 ||   || 16 ||
 || JI interval from 1/1 || 1/1 = 0 cents ||   || 9/8 = 204 ||   || 11/8 = 551 ||   || 7/4 = 969 ||   || 2/1 = 1200 ||
-|| nearest 11edo interval || 0\11edo = 0 cents ||   || 2\11 = 218 ||   || 5\11 = 545 ||   || 9\11 = 982 ||   || 11\11 = 1200 ||
+|| nearest 11edo interval || 0\11edo = 0¢ ||   || 2\11 = 218¢ ||   || 5\11 = 545 ||   || 9\11 = 982 ||   || 11\11 = 1200 ||
-|| difference || 0 ||   || +14 ||   || -6 ||   || +13 ||   || 0 ||
+|| difference || 0 ||   || +14¢ ||   || -6¢ ||   || +13¢ ||   || 0¢ ||
-|| JI interval between ||   || 9:8 = 204 cents ||   || 11:9 = 347 ||   || 14:11 = 418 ||   || 8:7 = 231 ||   ||
+|| JI interval between ||   || 9:8 = 204¢ ||   || 11:9 = 347 ||   || 14:11 = 418 ||   || 8:7 = 231 ||   ||
-|| nearest 11edo interval ||   || 2\11 = 218 ||   || 3\11 = 327 ||   || 4\11 = 436 ||   || 2\11 = 218 ||   ||
+|| nearest 11edo interval ||   || 2\11 = 218¢ ||   || 3\11 = 327 ||   || 4\11 = 436 ||   || 2\11 = 218 ||   ||
-|| difference ||   || +14 ||   || -20 ||   || +18 ||   || -13 ||   ||
+|| difference ||   || +14¢ ||   || -20¢ ||   || +18¢ ||   || -13¢ ||   ||
 edo also may be considered a 2.7.9.11.15.17 subgroup temperament. See diagram:
@@ Line 46: / Line 46: @@
 A chromatic scale would thus be sung: **do ra re me mo fu su lo la ta ti do**.
-|| degrees of 11edo || cents value (coarse/fine)
+|| degrees of 11edo || cents || solfege || ratios* || Sagittal
-DMS value || solfege || ratios* || Sagittal
 notation || [[Ups and Downs Notation|up/down notation ]]
 with sharp
@@ Line 53: / Line 52: @@
 notation ||
 || 0 || 0.00 || **do** || 1/1 || A || A || Q\P# ||
-|| 1 || 109.09, 130.91
+|| 1 || 109.09 || **ra** || 15/14, 16/15,
-°43'38" || **ra** || 15/14, 16/15,
 /16, 18/17 || AII\ or B!!/ || B || Q#\Rb ||
-|| 2 || 218.18, 261.82
+|| 2 || 218.18 || **re** || 8/7, 9/8, 17/15 || B || B^, C# || R ||
-°27'16" || **re** || 8/7, 9/8, 17/15 || B || B^, C# || R ||
+|| 3 || 327.27 || **me** || 6/5, 11/9, 17/14 || C/I or BII\ or D\!!/ || Bb, Cv || R#\Sb ||
-|| 3 || 327.27, 392.73
+|| 4 || 436.36 || **mo** || 9/7, 14/11, 22/17 || D\! or C/II\ || C || S ||
-°10'55" || **me** || 6/5, 11/9, 17/14 || C/I or BII\ or D\!!/ || Bb, Cv || R#\Sb ||
+|| 5 || 545.45 || **fu** || 11/8, 15/11 || D/I or E\!!/ || D || S#\Tb ||
-|| 4 || 436.36, 523.64
+|| 6 || 654.55 || **su** || 16/11, 22/15 || E\! or D/II\ || E || T ||
-°54'33" || **mo** || 9/7, 14/11, 22/17 || D\! or C/II\ || C || S ||
+|| 7 || 763.64 || **lo** || 11/7, 14/9, 17/11 || F || E^, F# || T#\Ub ||
-|| 5 || 545.455, 654.545
+|| 8 || 872.73 || **la** || 5/3, 18/11, 28/17 || FII\ or G!!/ || Eb, Fv || U ||
-°38'11" || **fu** || 11/8, 15/11 || D/I or E\!!/ || D || S#\Tb ||
+|| 9 || 981.82 || **ta** || 7/4, 16/9, 30/17 || G || F || U#\Pb ||
-|| 6 || 654.545, 785.455
+|| 10 || 1090.91 || **ti** || 15/8, 17/9,
-°21'49" || **su** || 16/11, 22/15 || E\! or D/II\ || E || T ||
-|| 7 || 763.64, 916.36
-°5'27" || **lo** || 11/7, 14/9, 17/11 || F || E^, F# || T#\Ub ||
-|| 8 || 872.73, 1047.27
-°49'5" || **la** || 5/3, 18/11, 28/17 || FII\ or G!!/ || Eb, Fv || U ||
-|| 9 || 981.82, 1178.18
-°31'44" || **ta** || 7/4, 16/9, 30/17 || G || F || U#\Pb ||
-|| 10 || 1090.91, 1309.09
-°16'22" || **ti** || 15/8, 17/9,
 /15, 32/17 || GII\ or A!!/ || G || P\Qb ||
 *in 2.7.9.11.15.17 subgroup
@@ Line 211: / Line 200: @@
          &lt;td&gt;nearest 11edo interval&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;0\11edo = 0 cents&lt;br /&gt;
+         &lt;td&gt;0\11edo = 0¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2\11 = 218&lt;br /&gt;
+         &lt;td&gt;2\11 = 218¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 237: / Line 226: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;+14&lt;br /&gt;
+         &lt;td&gt;+14¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-6&lt;br /&gt;
+         &lt;td&gt;-6¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;+13&lt;br /&gt;
+         &lt;td&gt;+13¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;0&lt;br /&gt;
+         &lt;td&gt;0¢&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 257: / Line 246: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;9:8 = 204 cents&lt;br /&gt;
+         &lt;td&gt;9:8 = 204¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 279: / Line 268: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2\11 = 218&lt;br /&gt;
+         &lt;td&gt;2\11 = 218¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 301: / Line 290: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;+14&lt;br /&gt;
+         &lt;td&gt;+14¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-20&lt;br /&gt;
+         &lt;td&gt;-20¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;+18&lt;br /&gt;
+         &lt;td&gt;+18¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-13&lt;br /&gt;
+         &lt;td&gt;-13¢&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 335: / Line 324: @@
          &lt;td&gt;degrees of 11edo&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;cents value (coarse/fine)&lt;br /&gt;
+         &lt;td&gt;cents&lt;br /&gt;
-DMS value&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;solfege&lt;br /&gt;
@@ Line 372: / Line 360: @@
          &lt;td&gt;1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;109.09, 130.91&lt;br /&gt;
+         &lt;td&gt;109.09&lt;br /&gt;
-°43'38&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;ra&lt;/strong&gt;&lt;br /&gt;
@@ Line 390: / Line 377: @@
          &lt;td&gt;2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;218.18, 261.82&lt;br /&gt;
+         &lt;td&gt;218.18&lt;br /&gt;
-°27'16&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;re&lt;/strong&gt;&lt;br /&gt;
@@ Line 407: / Line 393: @@
          &lt;td&gt;3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;327.27, 392.73&lt;br /&gt;
+         &lt;td&gt;327.27&lt;br /&gt;
-°10'55&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;me&lt;/strong&gt;&lt;br /&gt;
@@ Line 424: / Line 409: @@
          &lt;td&gt;4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;436.36, 523.64&lt;br /&gt;
+         &lt;td&gt;436.36&lt;br /&gt;
-°54'33&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;mo&lt;/strong&gt;&lt;br /&gt;
@@ Line 441: / Line 425: @@
          &lt;td&gt;5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;545.455, 654.545&lt;br /&gt;
+         &lt;td&gt;545.45&lt;br /&gt;
-°38'11&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;fu&lt;/strong&gt;&lt;br /&gt;
@@ Line 458: / Line 441: @@
          &lt;td&gt;6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;654.545, 785.455&lt;br /&gt;
+         &lt;td&gt;654.55&lt;br /&gt;
-°21'49&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;su&lt;/strong&gt;&lt;br /&gt;
@@ Line 475: / Line 457: @@
          &lt;td&gt;7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;763.64, 916.36&lt;br /&gt;
+         &lt;td&gt;763.64&lt;br /&gt;
-°5'27&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;lo&lt;/strong&gt;&lt;br /&gt;
@@ Line 492: / Line 473: @@
          &lt;td&gt;8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;872.73, 1047.27&lt;br /&gt;
+         &lt;td&gt;872.73&lt;br /&gt;
-°49'5&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;la&lt;/strong&gt;&lt;br /&gt;
@@ Line 509: / Line 489: @@
          &lt;td&gt;9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;981.82, 1178.18&lt;br /&gt;
+         &lt;td&gt;981.82&lt;br /&gt;
-°31'44&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;ta&lt;/strong&gt;&lt;br /&gt;
@@ Line 526: / Line 505: @@
          &lt;td&gt;10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1090.91, 1309.09&lt;br /&gt;
+         &lt;td&gt;1090.91&lt;br /&gt;
-°16'22&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;ti&lt;/strong&gt;&lt;br /&gt;